F1FM - Physics I: Fundamentals of Mechanics

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1 Coordinating unit: Teaching unit: Academic year: Degree: ECTS credits: EEBE - Barcelona East School of Engineering FIS - Department of Physics BACHELOR'S DEGREE IN ELECTRICAL ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) BACHELOR'S DEGREE IN MECHANICAL ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) BACHELOR'S DEGREE IN CHEMICAL ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) BACHELOR'S DEGREE IN BIOMEDICAL ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) BACHELOR'S DEGREE IN ENERGY ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) BACHELOR'S DEGREE IN INDUSTRIAL ELECTRONICS AND AUTOMATIC CONTROL ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) BACHELOR'S DEGREE IN MATERIALS ENGINEERING (Syllabus 2010). (Teaching unit Compulsory) BACHELOR'S DEGREE IN BIOMEDICAL ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) BACHELOR'S DEGREE IN ELECTRICAL ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) BACHELOR'S DEGREE IN ENERGY ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) BACHELOR'S DEGREE IN INDUSTRIAL ELECTRONICS AND AUTOMATIC CONTROL ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) BACHELOR'S DEGREE IN MECHANICAL ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) BACHELOR'S DEGREE IN CHEMICAL ENGINEERING (Syllabus 2009). (Teaching unit Compulsory) 6 Teaching languages: Catalan, Spanish, English Teaching staff Coordinator: Others: MURIEL BOTEY - GLÒRIA SALA MARTA ALARCÓN - ARACELI AZNAR - OLGA ALCARAZ - MURIEL BOTEY - MARTí BELTRAN - PERE BRUNA - GERMINAL CAMPS - MARIA DEL BARRIO - DOMINGO GARCÍA - JORDI JOSÉ - MANUEL LINARES - POL LLOVERAS - JOSEP LÓPEZ - ROBERTO MACOVEZ - LUIS CARLOS PARDO - ELOI PINEDA - CRISTINA PERIAGO - TRINITAT PRADELL - MICHELA ROMANINI - MARIA DOLORES RUIZ - GLÒRIA SALA Degree competences to which the subject contributes Specific: 1. Understand the general laws of mechanics, thermodynamics, fields and waves, and electromagnetism and apply them to engineering problems. Transversal: 2. TEAMWORK - Level 1. Working in a team and making positive contributions once the aims and group and individual responsibilities have been defined. Reaching joint decisions on the strategy to be followed. Teaching methodology Teaching methodology used: exposition 30%, individual work 60 %, group work 6%, guided activities 4%. Learning objectives of the subject Training the student through the acquisition of a working method and providing some knowledge of the principles and basic concepts of Mechanics, so that he/she can apply them to solve problems in the engineering field. 1 / 7

2 Study load Total learning time: 150h Hours large group: 51h 34.00% Hours medium group: 0h 0.00% Hours small group: 9h 6.00% Guided activities: 0h 0.00% Self study: 90h 60.00% 2 / 7

3 Content Subject 1: Introduction Learning time: 11h 12m Theory classes: 3h 24m Self study : 6h 48m Measurement and uncertainty. Graphical analysis and linearization. Vectors. Laboratory sessions: all laboratory session in both terms Knowing the meaning of the dimensions of a physical magnitude. Knowing the uncertainty associated with experimental measurements and knowing how to calculate the propagation of uncertainty. Learning how to draw graphical representations of experimental data and how to make linear regressions. Subject 2: Particle kinematics Learning time: 21h 24m Theory classes: 6h 48m Practical classes: 1h Self study : 13h 36m Position, displacement, velocity and acceleration vectors. Motion in one dimension. Motion in two and three dimensions. Circular motion. Simple harmonic motion. Moving frame of reference: Galileo's transformations. Spring (fall term) Simple pendulum (spring term) Modeling the motion for a particle, determining the equations of motion from its acceleration and initial conditions. Characterizing the linear and circular motion. Knowing the crucial role of the simple harmonic motion since for its wide application in the study of diverse physical phenomena. Establishing the concept of frame of reference to understand the relative character of the movement. 3 / 7

4 Subject 3: Particle dynamics Learning time: 28h Theory classes: 9h Self study : 18h Forces in nature. Newton's laws of motion. Linear momentum of a particle. Impulse. Force diagrams. Static equilibrium of a particle. Torques. Static equilibrium of a rigid body. Non-inertial reference frames. Equilibrium forces (spring term) Understanding the concepts of force and mass and knowing Newton's laws of motion. Acquiring the ability to apply the Newton's laws to solve problems that include various particles. Knowing how to establish the conditions for the static equilibrium of a rigid body and solving problems of equilibrium of the rigid body. Knowing the differences between inertial and non-inertial frames of reference. Subject 4: Work, energy and power Learning time: 11h 12m Theory classes: 3h 24m Self study : 6h 48m Work. Power and mechanical efficiency. Work-Kinetic energy theorem. Kinetic energy. Conservative and non conservative forces. Potential energy. Mechanical energy. Work-energy theorem. Conservation of mechanical energy. Energy diagrams in one dimension. Criteria for stable equilibrium. Pulleys (fall term) Understanding the physical concepts of work, power and energy. Identifying conservative forces and obtaining the corresponding potential energy associated with them. Problem-solving applying the work-kinetic energy theorem work and work-energy theorem. Knowing how to apply the law of conservation of mechanical energy. 4 / 7

5 Subject 5: Dynamics of systems of particles Learning time: 26h Theory classes: 8h Laboratory classes: 2h Self study : 16h Systems of particles. Internal and external forces in a system of particles. Center of mass. Linear momentum of a system of particles. Energy of a system of particles. Collisions and explosions. Angular momentum of a particle. Conservation of angular momentum. Collisions (spring term) Describing the movement of the center of masses of systems of particles. Knowing to formulate and to apply the principles of conservation of the amount of movement and of the mechanical energy of systems of particles. Applying the theorems of conservation in the study of collisions and explosions. Subject 6: Planar rigid bodies Learning time: 35h Theory classes: 11h Laboratory classes: 2h Self study : 22h Rotation of a rigid body about a fixed axis. Momentum of inertia. Angular momentum of a rigid body. Newton's second law for rotation. Work and power for rotation. Plane kinematics of rigid bodies. Plane dynamics of rigid bodies. Work and energy. System of rigid bodies: conservation of angular momentum. Laboratory sessions: Rotation (spring term) Ballistic pendulum (fall term) Knowing the Newton's second law for rotation and its application to solve problems. Knowing how to characterize the planar motion: coplanar translation and rotation about a fixed axis. Knowing the dynamics of the flat movement and knowing how to apply it to solve problems. Knowing and applying the angular momentum conservation in problem-solving. 5 / 7

6 Subject 7: Oscillations and waves Learning time: 11h 12m Theory classes: 3h 24m Self study : 6h 48m Mechanical waves. Harmonic waves. Wave equation. Energy, power and intensity of a wave. Superposition of waves: standing waves. Laboratory sessions: Standing waves on strings (spring term) Sound waves (fall term) Identifying the condition for simple harmonic motion in terms of acceleration. Understanding the wave concepts of propagation of energy and momentum. Knowing how to describe harmonic waves. Understanding interference phenomena, in particular, standing waves. Qualification system MARK M1: - Laboratory: 15% - Test 1: 20% - Test 2: 25% - Test 3: 20% - Problems: 20% MARK M2: - Laboratory: 20% - Test 3: 40% - Problems: 40% FINAL GRADE = maximum (M1 ; M2) Regulations for carrying out activities In all exams, students can use a pocket calculator. Besides, a physics formula sheet will be provided in the Problems' exam. 6 / 7

7 Bibliography Basic: Tipler, Paul A.; Mosca, Gene. Física per a la ciència i la tecnologia. 6ª ed. Barcelona: Reverté, ISBN Alcaraz i Sendra, Olga; López López, José; López Solanas, Vicente. Física : problemas y ejercicios resueltos. Madrid: Pearson Educación, cop ISBN Alarcón Jordán, Marta [et al.]. Física : problemes resolts. 2a ed. Barcelona: Edicions UPC, ISBN Complementary: Gettys, W. E.; Keller, F. J.; Skove, M. J.. Física para ingeniería y ciencias. 2a ed. México, D.F.: McGraw-Hill, cop ISBN Sears, Francis W. [et al.]. Física universitària. 12ª ed. México D. F.: Pearson Educación, ISBN Serway, Raymond A.; Jewett, John W.. Física. 3a ed.. Madrid: International Thomson, cop ISBN Others resources: Hyperlink Curso Interactivo de Física en Internet La baldufa: un entorn per a l'aprenentatge de la física. 7 / 7